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  2. Buffon's needle problem - Wikipedia

    en.wikipedia.org/wiki/Buffon's_needle_problem

    Buffon's needle was the earliest problem in geometric probability to be solved; [2] it can be solved using integral geometry. The solution for the sought probability p, in the case where the needle length l is not greater than the width t of the strips, is. This can be used to design a Monte Carlo method for approximating the number π ...

  3. Sigmoid function - Wikipedia

    en.wikipedia.org/wiki/Sigmoid_function

    A sigmoid function is any mathematical function whose graph has a characteristic S-shaped or sigmoid curve. A common example of a sigmoid function is the logistic function shown in the first figure and defined by the formula: [1] Other standard sigmoid functions are given in the Examples section. In some fields, most notably in the context of ...

  4. Spreadsheet - Wikipedia

    en.wikipedia.org/wiki/Spreadsheet

    A spreadsheet is a computer application for computation, organization, analysis and storage of data in tabular form. [1][2][3] Spreadsheets were developed as computerized analogs of paper accounting worksheets. [4] The program operates on data entered in cells of a table. Each cell may contain either numeric or text data, or the results of ...

  5. Nelder–Mead method - Wikipedia

    en.wikipedia.org/wiki/Nelder–Mead_method

    However, the overall number of iterations to proposed optimum may be high. Nelder–Mead in n dimensions maintains a set of n + 1 test points arranged as a simplex . It then extrapolates the behavior of the objective function measured at each test point in order to find a new test point and to replace one of the old test points with the new one ...

  6. Euler's totient function - Wikipedia

    en.wikipedia.org/wiki/Euler's_totient_function

    In number theory, Euler's totient function counts the positive integers up to a given integer n that are relatively prime to n. It is written using the Greek letter phi as or , and may also be called Euler's phi function. In other words, it is the number of integers k in the range 1 ≤ k ≤ n for which the greatest common divisor gcd (n, k ...

  7. Grassmann number - Wikipedia

    en.wikipedia.org/wiki/Grassmann_number

    Grassmann number. In mathematical physics, a Grassmann number, named after Hermann Grassmann (also called an anticommuting number or supernumber), is an element of the exterior algebra of a complex vector space. [1] The special case of a 1-dimensional algebra is known as a dual number. Grassmann numbers saw an early use in physics to express a ...

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